Abstract
It was recently pointed out that simple scaling properties o f Polyakov correlation functions of gauge systems in the confining phase suggest that the ratios o f k-string tensions in the low temperature region is constant up to terms of order T 3 . Here we argue that, at least in a three-dimensional Z4 gauge model, the above ratios are constant in the whole confin ing phase. This result is obtained by combining numerical experiments with known exact results on the mass spectrum of an integrable two-dimensional spin model describing the infrared behaviour of the gauge system near the deconfining transition.
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